A Possible Lattice Chiral Gauge Theory
Abstract
We analyze the dynamics of an SUL(2) UR(1) chiral gauge theory on a lattice with a large multifermion coupling 1 g2 < ∞. It is shown that no spontaneous symmetry breaking occurs; the ``spectator'' fermion R(x) is a free mode; doublers are decoupled as massive Dirac fermions consistently with the chiral gauge symmetry. Whether right-handed three-fermion states disappear and chiral fermions emerge in the low-energy limit are discussed. Provided right-handed three-fermion states disappear, we discuss the chiral gauge coupling, Ward identities, the gauge anomaly and anomalous UL(1) global current within the gauge-invariant prescription of renormalization of the gauge perturbation theory.
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